On the $n$-ary algebras, semigroups and their universal covers

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For any $n$-ary associative algebra we construct a $\Z_{n-1}$ graded algebra, which is a universal object containing the $n$-ary algebra as a subspace of elements of degree 1. Similar construction is carried out for semigroups.
10 pages, Uses AMS-LaTeX and XYpic

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Rings and Algebras, 17A42; 16N34; 20N15

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http://salesiana.dossiersoluciones.com/handle/123456789/77120

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9807019
 http://arxiv.org/abs/math/9807019

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arXiv